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What is the Least Common Multiple of 9885 and 9893?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 9885 and 9893 is 97792305.

LCM(9885,9893) = 97792305

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Least Common Multiple of 9885 and 9893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9885 and 9893, than apply into the LCM equation.

GCF(9885,9893) = 1
LCM(9885,9893) = ( 9885 × 9893) / 1
LCM(9885,9893) = 97792305 / 1
LCM(9885,9893) = 97792305

Least Common Multiple (LCM) of 9885 and 9893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9885 and 9893. First we will calculate the prime factors of 9885 and 9893.

Prime Factorization of 9885

Prime factors of 9885 are 3, 5, 659. Prime factorization of 9885 in exponential form is:

9885 = 31 × 51 × 6591

Prime Factorization of 9893

Prime factors of 9893 are 13, 761. Prime factorization of 9893 in exponential form is:

9893 = 131 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 9885 and 9893.

LCM(9885,9893) = 31 × 51 × 6591 × 131 × 7611
LCM(9885,9893) = 97792305